Atkin-Lehner |
2- 3- 31+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
95976o |
Isogeny class |
Conductor |
95976 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
861696 |
Modular degree for the optimal curve |
Δ |
-5092703282061936 = -1 · 24 · 317 · 31 · 433 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 3 6 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-432651,-109589245] |
[a1,a2,a3,a4,a6] |
Generators |
[1097162:12896739:1331] |
Generators of the group modulo torsion |
j |
-767872893098576128/436617222399 |
j-invariant |
L |
5.7849956020615 |
L(r)(E,1)/r! |
Ω |
0.093072272893058 |
Real period |
R |
7.7694938285227 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005649 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31992b1 |
Quadratic twists by: -3 |